Two students, Casey and Tran, try to schedule time with a tutor during the week. The tutor has a total of 7 hours available, 3 hours in the morning and 4 hours in the afternoon. Casey prefers morning meeting times to afternoon times in a 3-to-1 ratio. Tran likes afternoon hours twice as much as morning hours. Neither student is willing to create divisions that are the same. They agree to use the divide-and-choose method for two players.
a. Determine how the tutor’s time could be fairly divided if Casey is the divider. Then indicate which option Tran would choose, and explain why.
b. Determine how the tutor’s time could be fairly divided if Tran is the divider. Then indicate which option Casey would choose, and explain why.
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